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Finding the Third Proportional to 12,409.88 and 27,005.06

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Solution

The third proportional to 12,409.88 and 27,005.06 is: 58,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.88 : 27,005.06 = 27,005.06 : x
  2. Step 2: Convert to fraction form
    12,409.88/27,005.06 = 27,005.06/x
  3. Step 3: Cross multiply
    12,409.88x = 27,005.06 × 27,005.06
  4. Step 4: Simplify right side
    12,409.88x = 729,273,400.63
  5. Step 5: Solve for x
    x = 729,273,400.63/12,409.88
  6. Step 6: Final answer
    x = 58,765.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.